# statsmodels.stats.power.tt_solve_power¶

`statsmodels.stats.power.``tt_solve_power` = <bound method TTestPower.solve_power of <statsmodels.stats.power.TTestPower object at 0x108a9ef28>>

solve for any one parameter of the power of a one sample t-test

for the one sample t-test the keywords are:
effect_size, nobs, alpha, power

Exactly one needs to be `None`, all others need numeric values.

This test can also be used for a paired t-test, where effect size is defined in terms of the mean difference, and nobs is the number of pairs.

Parameters: effect_size : float standardized effect size, mean divided by the standard deviation. effect size has to be positive. nobs : int or float sample size, number of observations. alpha : float in interval (0,1) significance level, e.g. 0.05, is the probability of a type I error, that is wrong rejections if the Null Hypothesis is true. power : float in interval (0,1) power of the test, e.g. 0.8, is one minus the probability of a type II error. Power is the probability that the test correctly rejects the Null Hypothesis if the Alternative Hypothesis is true. alternative : string, ‘two-sided’ (default) or ‘one-sided’ extra argument to choose whether the power is calculated for a two-sided (default) or one sided test. ‘one-sided’ assumes we are in the relevant tail. value : float The value of the parameter that was set to None in the call. The value solves the power equation given the remaining parameters. attaches cache_fit_res : list Cache of the result of the root finding procedure for the latest call to `solve_power`, mainly for debugging purposes. The first element is the success indicator, one if successful. The remaining elements contain the return information of the up to three solvers that have been tried.

Notes

The function uses scipy.optimize for finding the value that satisfies the power equation. It first uses `brentq` with a prior search for bounds. If this fails to find a root, `fsolve` is used. If `fsolve` also fails, then, for `alpha`, `power` and `effect_size`, `brentq` with fixed bounds is used. However, there can still be cases where this fails.